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Simplifying 25x + 10x + 5(20 + x) = 1300 25x + 10x + (20 * 5 + x * 5) = 1300 25x + 10x + (100 + 5x) = 1300 Reorder the terms: 100 + 25x + 10x + 5x = 1300 Combine like terms: 25x + 10x = 35x 100 + 35x + 5x = 1300 Combine like terms: 35x + 5x = 40x 100 + 40x = 1300 Solving 100 + 40x = 1300 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 40x = 1300 + -100 Combine like terms: 100 + -100 = 0 0 + 40x = 1300 + -100 40x = 1300 + -100 Combine like terms: 1300 + -100 = 1200 40x = 1200 Divide each side by '40'. x = 30 Simplifying x = 30
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